Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking-Reference-Cited by-同舟云学术

Vertex Connectivity of Fuzzy Graphs with Applications to Human Trafficking

Published:2018-08-23 Issue:03 Volume:14 Page:457-485
ISSN:1793-0057
Container-title:New Mathematics and Natural Computation
language:en
Short-container-title:New Math. and Nat. Computation

Author:

Ali Shanookha¹,Mathew Sunil¹,Mordeson John N.²,Rashmanlou Hossein³

Affiliation:

1. Department of Mathematics, National Institute of Technology, Calicut 673601, Kerala, India

2. Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA

3. Young Researchers and Elite Club, Central Tehran Branch, Islamic Azad University, Tehran, Iran

Abstract

Connectivity is the most important aspect of a dynamic network. It has been widely studied and applied in different perspectives in the past. In this paper, constructions of [Formula: see text]-connected fuzzy graphs for an arbitrary real number [Formula: see text] and average fuzzy vertex connectivity of fuzzy graphs are discussed. Average fuzzy vertex connectivity of fuzzy trees, fuzzy cycles and complete fuzzy graphs are studied. The concept of a uniformly [Formula: see text]-connected fuzzy graph is introduced and characterized towards the end. An application related to human trafficking is also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Computational Theory and Mathematics,Computational Mathematics,Computer Science Applications,Human-Computer Interaction

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793005718500278

Reference21 articles.

1. FUZZY GRAPHS††The support of the Office of Computing Activities, National Science Foundation, under Grant GJ-32258X, is gratefully acknowledged, as is the help of Shelly Rowe in preparing this paper.

2. Node connectivity and arc connectivity of a fuzzy graph

3. Fuzzy sets

4. Fuzzy Graph Theory

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